MinT - Information on Result #1116397

Information on Result #1116397

Linear OOA(2¹⁶⁴, 78, F₂, 5, 50) (dual of [(78, 5), 226, 51]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³⁴, 12, F₂, 5, 25) (dual of [(12, 5), 26, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,34P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³⁰, 66, F₂, 5, 50) (dual of [(66, 5), 200, 51]-NRT-code), using
- extracting embedded OOA [i] based on digital (80, 130, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 65, 33)-net over F₄, using
    - net from sequence [i] based on digital (15, 32)-sequence over F₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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